[0001] The present invention relates to fiber optic gyroscopes. More particularly, this
invention pertains to gyro sensor coil designs for minimizing environmentally-induced
bias errors due to the Shupe effect.
[0002] An interferometric fiber optic gyroscope comprises the following main components:
(1) a light source, (2) two beamsplitters (fiber optic directional coupler and/or
integrated-optic Y-junctions) to satisfy the requirement of a "minimum reciprocal
configuration" (S. Ezekiel and M.J. Arditty,
Fiber Optic Rotation Sensors New York, Springer-Verlag p. 2-26 1982), (3) a fiber optic sensing coil made of either
polarization maintaining (PM) fiber or made of low-birefringence (standard telecommunications)
fiber, (4) a polarizer (and sometimes one or more depolarizers), and (5) a detector.
Light from the light source is split by the loop beamsplitter into copropagating and
counterpropagating waves travelling in the sensing coil. The associated electronics
measures the phase relationship between the two interfering, counter-propagating beams
of light that emerge from opposite ends of the coil. The difference between the phase
shifts experienced by the two beams is proportional to the rate of rotation of the
platform to which the instrument is fixed, due to the well-known Sagnac effect.
[0003] Environmental factors can affect the measured phase shift difference between the
counterpropagating beams, thereby introducing a bias error. Such environmental factors
include variables such as temperature, vibration (acoustical and mechanical) and magnetic
fields. An important source of bias error in the fiber optic gyro is known in the
art as the Shupe effect. The Shupe bias error arises when time-dependent environmental
perturbations (thermal, acoustical, vibrational, etc.) act on the gyro sensing coil
by varying the optical light path that each counterpropagating wave encounters as
it travels through the coil. The phase shifts induced upon the two waves are unequal,
producing a net undesirable phase shift which is indistinguishable from the rotation-induced
signal.
[0004] One approach to attain a reduction of Shupe bias errors has involved the use of various
symmetric coil winding configurations. In such coils, the windings are arranged so
that the geometrical center of the coil is located at the innermost layer while the
two ends of the coil are located at the outermost layers.
[0005] N. Frigo has proposed the use of particular winding patterns to compensate for Shupe
non-reciprocities in "Compensation of Linear Sources of Non-Reciprocity in Sagnac
Interferometers".
Fiber Optics and Laser Sensors I, Proc. SPIE Vol. 412 p. 268 (1983). Furthermore, United States patent 4,793,708 of
Bednarz entitled "Fiber Optic Sensing Coil" teaches a symmetric fiber optic sensing
coil formed by dualpole or quadrupole winding. The coils described in that patent
exhibit enhanced performance over the conventional helix-type winding.
[0006] United States patent 4,856,900 of Ivancevic entitled "Quadrupole-Wound Fiber Optic
Sensing Coil and Method of Manufacture Thereof" teaches an improved quadrupole-wound
coil in which fiber pinching and microbends due to the presence of pop-up fiber segments
adjacent the end flanges are overcome by replacing such pop-up segments with concentrically-wound
walls of turns for climbing between connecting layers. Both of the aforementioned
United States patents are the property of the assignee herein.
[0007] While appropriate coil winding techniques can reduce the Shupe bias error occasioned
by the assymetry of environmental factors, they do not address all the sources of
environmentally-induced bias errors in gyro output.
[0008] The foregoing and additional shortcomings and disadvantages of the prior art are
addressed by the present invention that provides, in a first aspect, a sensor coil
for a fiber optic gyroscope. Such a coil includes a first optical fiber. The fiber
is arranged into a plurality of concentric cylindrical layers. Each of the layers
comprises a plurality of turns arranged in a predetermined winding pattern so that
the first fiber forms a toroidal shape bounded by substantially cylindrical, concentric
inner and outer surfaces and substantially parallel, annular upper and lower edge
planes. The coil is encapsulated in potting material and includes a boundary layer
bonded to at least one of the surfaces to form an integral structure with the potted
coil.
[0009] In a second aspect, the invention provides a fiber optic gyroscope that includes
a source of optical energy and a detector. Means are provided for coupling the output
of the source into a sensor coil whereby the output is formed into a pair of beams
that counterpropagate therein. Means are additionally provided for coupling the output
of the sensor coil to the detector. The sensor coil comprises an integral structure
that includes a responsive member comprising a first optical fiber wound in a predetermined
pattern forming a plurality of layers of turns. A second member is fixed to and covers
a surface of the responsive member. The gyroscope is arranged so that the output of
the source of optical energy is coupled into the responsive member and the output
of the responsive member is coupled to the detector.
[0010] The preceding and other features and advantages of the invention will become further
apparent from the detailed description that follows. Such description is accompanied
by a set of drawing figures. Numerals of the drawing figures, corresponding to those
of the written text, point to the various features of this invention with like numerals
referring to like features throughout.
Figure 1 is a schematic view of a fiber optic gyroscope incorporating a sensor coil
in accordance with the invention;
Figure 2 is a graph of analytically-derived contributions to the Shupe integral as
a function of fiber location within a potted sensor coil;
Figures 3A and 3B are a perspective view of a gyro sensor coil in accordance with
the invention and a cross-sectional view of a portion thereof taken at line 3B-3B
of Figure 3A respectively;
Figure 4 is a perspective view of a gyro sensor coil mounted upon a flange in a split
configuration;
Figures 5A and 5B are analytically-derived plots of contributions to Shupe bias per
turn for the turns of the last bilayer of the top half and for the last bilayer of
the bottom half, respectively, of a gyro sensor coil in accordance with Figure 4;
and
Figures 6A through 6E are perspective and sectional views of various embodiments of
gyro sensor coils in accordance with the invention.
[0011] Figure 1 is a schematic view of a fiber optic gyroscope incorporating a sensor coil
in accordance with the invention. The gyroscope comprises a broadband light source
10, beamsplitters (fiber directional couplers and/or integrated-optic Y-junctions)
12 and 14 to route the light, a photodetector 16, a sensor coil 18 that acts as the
rotation sensing component and a phase modulator 20 consisting, for example, of a
piezoelectric cylinder or a single-channel LiNbO
3 waveguide modulator. A "push-pull" arrangement with two waveguide modulators within
a single LiNbO
3 chip is a straightforward extension.
[0012] The sensor coil 18 of the invention comprises multiple structural elements. A first
element 22 is optically coupled to the other elements of the rotation-sensing system,
comprising a multiturn coil 22 of optical fiber that receives the output of the light
source 10, transformed into a pair of beams that counterpropagate therein by the beamsplitter
14, to provide a signal to the photodetector 16 that indicates rotation of the attached
platform. A second element 24 (which may, in fact, comprise a number of discrete structures)
completes the sensor coil 18. The element 24 may comprise windings of optical fiber
or a wafer(s) of thermally-compatible material formed integral with the first element
22. The first and second elements 22 and 24 are structurally integrated to form a
mechanically coherent structure. The second element 24 is not, however, optically
coupled to the other elements of the fiber optic gyroscope. Rather, as will be seen
below, the second element 24 effectively replaces those portions of the sensor coil
18 that are most vulnerable to thermal perturbations and consequent Shupe bias effects.
I. COMPENSATION OF BIAS DUE TO COIL STRUCTURE
[0013] Figure 2 is a graph of analytically-derived contributions to the Shupe integral as
a function of fiber location (i.e. coil turn radius) within a sensor coil. The graph
represents the result of the mathematical modeling of a coil formed of a continuous
optical fiber wound in a thread pattern to form a toroidally-shaped structure that
is potted in a material such as those disclosed in patent Serial No. 5,546,482 entitled
"Potted Fiber Optic Gyro Sensor Coil for Stringent Vibration and Thermal Environments"
of A. Cordova and G.M. Surabian, property of the assignee herein.
[0014] A family of curves is plotted in Figure 2, each corresponding to a different coil
temperature T
i. As can be seen, regardless of temperature, the contributions to the Shupe integral
deviate significantly from zero as one approaches both the inner and outer layers
of turns of the wound sensor coil. Thus, the greatest contributions to Shupe bias
error by a toroid-shaped thread-wound potted sensor coil occur as the light counterpropagates
through the innermost and outermost layers of windings. For the case of a dualpole
or a quadrupole wind, the plots of contributions to the Shupe bias errors of Figure
2 are modified by a weighting factor. This weighting factor (the distance to the midpoint)
reduces the contributions of the innermost layers, and increases the contributions
of the outermost layers.
[0015] In the present invention, Shupe bias errors are accordingly minimized by replacing
those portions of the sensor coil 18 with a so-called dummy layer(s) that forms a
portion(s) of the wound coil structure yet does not carry or transmit any rotation-sensitive
optical signals. Such layer(s) constitute the second element 24 of the sensor coil
18 as referenced in Figure 1.
[0016] The reason this approach can reduce Shupe bias errors is as follows. If the dummy
layers have thermomechanical properties similar to those of the potted sensor coil,
then the plots of contributions to the Shupe integral, as shown in Figure 2, are not
modified by the presence of the dummy layers (regions I and II), except for the fact
that the Shupe integral now involves only region III (the rotation-sensing element).
Region III comprises fiber layers for which the contributions to the Shupe integral
are small for all temperatures. Therefore, the integral over region III yields a small
Shupe bias error.
[0017] The radial extent of the dummy layers (i.e., size of the regions I and II) is dictated
by a compromise between Shupe bias reduction and overall gyro size or Sagnac scale
factor. Increasing the radial extent of the dummy layers (for example to radii R1
and R2 in Figure 2) can further reduce the Shupe bias error. However, this also reduces
the size of the rotation-sensing element, and thus reduces the effective coil length
and the effective Sagnac scale factor. Conversely, should the coil length and Sagnac
scale factor be maintained, adding the dummy layers will result in increased gyro
size. The tradeoff will depend on the specific gyro application.
[0018] For the specific case of a dualpole or a quadrupole winding pattern, a substantial
reduction in Shupe bias can be achieved by utilizing only the outer dummy layer (region
II) since, for these winds, the contribution of the outer layers to Shupe bias error
is largely dominant.
[0019] Figures 3A and 3B are perspective and crosssectional views, respectively, of a gyro
sensor coil 26 in accordance with the invention. As seen in Figure 3B, the interior
layers of the toroid-shaped coil 26 (region III) comprise windings of a first optical
fiber 28 while the inner and outer regions "I" and "II" comprise layers of windings
of optical fibers 30 and 32 respectively. The fibers 28, 30 and 32 are not optically
coupled to one another, the fiber 28 corresponding to the first (sensing) element
22 and the windings of the fibers 30 and 32 corresponding to the second (non-sensing)
element 24. That is, the layers of windings of the fibers 30 and 32 form "dummy" elements
those of the fiber 28 form the rotation-sensitive element of the sensor coil 26. Referring
back to the plot of contributions to the Shupe integral versus coil radius (Figure
2), it is seen that the dummy elements of the sensor coil 26 fill regions I and II
adjacent the inner and outer radial extrema where maximum values of Shupe bias contribution
are observed. Most significantly, the layers of windings of the fiber 28 that form
the rotation-sensitive portion of the sensor coil 26 are
absent from regions I and II. As previously stated, for the case of a dualpole or a quadrupole
wind, a single dummy layer occupying region II is sufficient to substantially reduce
the Shupe bias error.
II. COMPENSATION OF BIAS DUE TO COIL MOUNT
[0020] Figure 4 is a perspective view of a prior art potted gyro sensor coil 40 and mounting
flange 42 generally in accordance with United States patent application Serial No.
08/526,725, property of the assignee herein. A split coil configuration is employed
wherein one-half of the turns of the preferably quadrupole-wound coil 40 lie above,
and one-half lie beneath, the flange 42 which projects from a central hub (not shown).
An analysis of Shupe bias effects will proceed with reference to the coil 40 of Figure
4. Later, it will be seen that the results of such analysis may be applied to other
coil designs and mounting arrangements.
[0021] The first or upper half 44 of the coil 40 is wound above the metallic flange 42.
For the case in which such a wind follows a quadrupole pattern, there are at least
two ways to begin. The wind can commence at the top of the half coil (opposite the
metallic flange) or at the bottom of the half coil (against the metallic flange).
Upon completion, the fiber leads are routed through edge cuts 46 and 48 below the
flange 42. The fiber leads are then wound to form a lower half coil 50. Once again,
in the case of a quadrupole pattern, the second winding can start either at the top
of the half coil (against the flange) or at the bottom of the half coil (opposite
the flange).
[0022] Figures 5A and 5B are analytically-derived plots of the contributions to Shupe bias
(per turn) of the turns of the last bilayer of the top half 44 and the last bilayer
of the bottom half coil 50. In this analysis it was assumed that the top half coil
was begun at the top (opposite the flange) and the bottom half coil also begun at
the top (against the flange). As can be seen from Figure 5A, the largest contributions
to Shupe bias for the top half coil correspond to turns at the middle of the bilayer
while (see Figure 5B) the largest contributions to Shupe bias for the bottom half
coil correspond to turns at the beginning and the end of the bilayer. In both cases,
the largest contributions result from turns that are in contact with or very close
to the metallic flange 42, suggesting that the regions of the active coil most subject
to Shupe bias effects occur at layers adjacent the flange 42.
[0023] Figures 6A through 6E are a series of views that illustrate various embodiments of
the present invention. Each embodiment comprises a sensor coil that includes both
a rotation-sensitive section of wound and potted optical fiber and at least one dummy
or rotation-insensitive portion. In each embodiment, the rotation-sensitive section
is suitable for optical coupling to the remainder of the fiber optic gyro system as
shown in Figure 1. The dummy element(s) "replaces" a portion of the sensor coil which
would otherwise serve as a source of a relatively-significant degree of Shupe bias
error. The design of each coil embodiment in accordance with the invention relies
upon the matching of the properties of the dummy element(s) to those of the potted
rotation-sensitive element so that the reduction of Shupe bias is not counteracted
by the introduction of stresses between the rotation-sensitive and dummy elements.
This can be readily accomplished if, for example, the rotation-sensitive and insensitive
portions comprise optical fiber (or equivalent) and potting material. The optical
fibers comprising the two elements are preferably similar while the potting material
may be commonly applied to the two or more distinct wound elements to assure a unitary
overall sensor coil structure.
[0024] Figures 6A through 6E are exploded perspective and cross-sectional views of sensor
coils in accordance with the invention that address reduction of Shupe bias error
in a manner analogous to that employed to reduce Shupe bias resulting from coil structure.
As discussed above, the larger contributions to Shupe bias are observed to occur at
the coil-to-mount interface. In accordance with the invention, a dummy element replaces
the rotation-sensitive layers in such region.
[0025] Referring first to the arrangement shown in the exploded perspective view of Figure
6A and in sectional view in Figure 6B, a disk 52, whose thermal characteristics are
matched to those of a potted wound coil 54, provides an interface between the rotation-sensitive
coil 54 and a metallic mounting flange 56. The disk 52 provides the functional and
mechanical equivalent of a number of layers of windings of a dummy coil. It should
be noted that the cross-sectional view of Figure 6B discloses a split-coil design
in which the rotation-sensitive coil 54 provides the upper (i.e., above mounting flange
56) half of the overall coil, whereas, in Figure 6A, element 54 represents the complete,
rotation-sensitive, potted coil.
[0026] In Figure 6B, a second disk 58 is formed of material that is thermally compatible
with a lower half coil 60 (whose windings, per Figure 4, are formed of the same optical
fiber 62 the upper coil 54). As in the case of the embodiment of the invention disclosed
in Figures 3A and 3B, the disks 52, 58 form integral structures with the rotation-sensitive
potted half-coils 54 and 60 in the sense that the two elements are, in each case,
structurally integrated and thermally matched to form, in effect, single mechanical
structures. Thus the invention attains the removal of the rotation-sensing function
from the regions of the wound coil structure that exhibit the largest contributions
to Shupe bias error.
[0027] Figures 6C and 6D are exploded perspective and cross-sectional views of sensor coils
in accordance with the invention. Such embodiments differ from the prior embodiments
only insofar as dummy elements comprising layers of windings 64 and 66 replace the
disks 52 and 58 of the prior embodiment. In operation, the embodiment of Figures 6C
and 6D, just as the embodiment of Figures 6A and 6B, is consistent in design approach
to the embodiment of Figures 3A and 3B for removing the rotation-sensitive element
from the regions of high Shupe bias contributions occurring at the inner and outer
radii of the toroid-shaped sensor coil. As before, the composite design, including
both rotation-sensitive and dummy elements, comprises an integral structure. For example,
they may be bonded together by common potting material. Thermal matching between the
rotation-sensitive and dummy elements can be accomplished (for example) when the dummy
element comprises layers of turns of optical fiber as illustrated in Figures 6C and
6D.
[0028] Figure 6E is a cross-sectional view of a sensor coil 68 in accordance with the invention
that is generally based upon the coil design disclosed in United States patent 5,486,922
of Cordova entitled "Sensor Coil With Thermalmechanically-Matched Spool For Fiber
Optic Gyroscope". The embodiment of Figure 6E addresses both of the contributions
to Shupe bias error discussed above. That is, disks 70 and 72 are located at the ends
of rotation-sensitive potted coil 74, thereby replacing turns of the rotation-sensitive
coil 74 that would otherwise be subject to high Shupe bias contributions as illustrated
by the plots of Figures 5A and 5B while inner dummy windings 76 and outer dummy windings
78 replace regions of the rotation sensitive coil 74 otherwise subject to high Shupe
bias as illustrated in Figure 2.
[0029] Thus it is seen that the present invention provides an improved sensor coil for a
fiber optic gyro. By employing the teachings of this invention one may obtain gyro
outputs that are less subject to Shupe bias errors than gyros employing sensor coils
in accordance with the prior art.
[0030] While this invention has been illustrated with reference to its presently-preferred
embodiment, it is not limited thereto. Rather this invention is limited only insofar
as it is defined by the following set of patent claims and includes within its scope
all equivalents thereof.
1. A sensor coil for a fibre optic gyroscope comprising, in combination:
a) a first optical fibre;
b) said first optical fibre being arranged into a plurality of concentric cylindrical
layers;
c) each of said layers comprising a plurality of turns of said first fibre;
d) said turns being arranged into a predetermined winding pattern so that said first
fibre forms a coil of toroidal shape bounded by substantially cylindrical, concentric
inner and outer surfaces and substantially parallel, annular upper and lower surfaces;
e) said coil being encapsulated in potting material; and
f) said potted coil including a boundary layer bonded to at least one of said surfaces
to form an integral structure with said potted coil.
2. A fibre optic gyroscope comprising, in combination:
a) a source of optical energy;
b) a detector;
c) means for coupling the output of said source of optical energy into a sensor coil
whereby said output is formed into a pair of beams that counter-propagate within said
sensor coil;
d) means for coupling the output of said sensor coil to said detector;
e) said sensor coil comprising an integral structure including a responsive member
comprising a first optical fibre wound in a predetermined pattern forming a plurality
of layers of turns;
f) said integral structure including a boundary defining second member fixed to said
responsive member, said second member covering a surface of said responsive member;
and
g) said gyroscope is arranged so that the output of said source of optical energy
is coupled into said responsive member and the output of said responsive member is
coupled to said detector.
3. A gyroscope according to Claim 2, wherein:
a) said responsive member comprises a coil of toroidal shape bounded by substantially
cylindrical, concentric inner and outer surfaces and substantially parallel, annular
upper and lower surfaces;
b) said coil being encapsulated in potting material; and
c) said second member being bonded to at least one of said surfaces to form an integral
structure with said potted coil.
4. A sensor coil or gyroscope according to Claim 1 or to Claim 3, further characterized
in that:
a) said potted coil is of predetermined thermal expansion characteristics; and
b) the thermal expansion characteristics of said boundary or second member are substantially
the same as those of said potted coil.
5. A sensor coil or gyroscope according to Claim 4, wherein said boundary or second member
comprises at least one layer of windings of a second optical fibre.
6. A sensor coil or gyroscope according to Claim 5, wherein said layers of said first
and second optical fibres are encapsulated within said potting material.
7. A sensor coil or gyroscope according to Claim 5, wherein a first boundary surrounds
said cylindrical outer surface of said potted coil.
8. A sensor coil or gyroscope according to Claim 5, wherein a second boundary is fixed
within said cylindrical inner surface of said potted coil.
9. A sensor coil or gyroscope according to Claim 4, further characterized in that a substantially-planar
boundary is fixed to at least one annular edge plane of said potted coil.
10. A sensor coil or fibre optic gyroscope according to Claim 9, wherein said boundary
comprises at least one annular layer of windings of a second optical fibre.
11. A sensor coil or fibre optic gyroscope according to Claim 9, wherein said boundary
comprises a substantially planar disk of annular shape.